Abstract
Solitons with spherical and/or cylindrical symmetry in the interacting system of scalar, electromagnetic, and gravitational fields have been obtained. As a particular case it is shown that the equations of motion admit a special kind of solution with a sharp boundary, known as droplets. For these solutions, the physical fields vanish and the space-time is flat outside of the critical sphere or cylinder. Therefore, the mass and the electric charge of these configurations are zero.
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References
Abrikosov, A. A. (1957).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,32(6), 1442.
Bisshop, F. (1972).International Journal of Theoretical Physics,6(3), 225.
Bronnikov, K. A. (1973).Acta Physica Polonica B,4(2), 251.
Bronnikov, K. A. (1979). InProblems of the Theory of Gravity and Elementary Particles, Vol. 10, Energoizdat, Moscow, p. 37.
Bronnikov, K. A., and Kovalchuk, M. A. (1980).Journal of Physics A: Mathematical and General,3, 187.
Bronnikov, K. A., and Shikin, G. N. (1985). InProceedings of Sir A. Eddington Centenary Symposium on Relativity Theory, World Scientific, Singapore, Vol. 2, p. 196.
Bronnikov, K. A., Mel'nikov, V. N., Shikin, G. N. and Stanukovich, K. P. (1979).Annals of Physics,118(1), 84.
Bronnikov, K. A., Rybakov, Yu. P., and Shikin, G. N. (1991).Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika,5, 24.
Bronnikov, K. A., Rybakov, Yu. P., and Shikin, G. N. (1993).Communications in Theoretical Physics,2, 19.
Chugunov, I. G., Rybakov, Yu. P., and Shikin, G. N. (1996).International Journal of Theoretical Physics,35(7), 1493.
De Vega, H. J. (1978).Physical Review D,18(8), 2945.
Goldhaber, A. S., and Nieto, M. M. (1971).Reviews of Modern Physics,43, 277.
Ljubicic, A., Pisk, K., and Loggan, B. A. (1979).Physical Review D,20(4), 1016.
Mie, G. (1912a).Annalen der Physik,37, 511.
Mie, G. (1912b).Annalen der Physik,39, 1.
Mitskevich, N. V. (1969).Physical Fields in General Relativity, Nauka, Moscow.
Nielsen, H. B., and Olesen, P. (1973)Nuclear Physics B,51 (1), 45.
Novello, M., and Heintzmann, H. (1983).Physics Letters A,98(1/2), 10.
Novello, M., and Salim, J. M. (1979)Physical Review D,20, 377.
Peckev, J. C., Roberts, A. P., and Vigier, J. P. (1972).Nature,237, 227.
Rosen, N. (1939).Physical Review,55(1), 94.
Rybakov, Yu. P., Saha, B., and Shikin, G. N. (1992). InGR 13, Cordoba, Argentina, p. 66.
Rybakov, Yu. P., Saha, B., and Shikin, G. N. (1993). In8th Russian Gravitation Conference, p. 193.
Rybakov, Yu. P., Saha, B., and Shikin, G. N. (1994a). In:Problems of Statistical Physics and Field Theory, PFU, Moscow, p. 18.
Rybakov, Yu. P., Saha, B., and Shikin, G. N. (1994b).Communications in Theoretical Physics,3(1), 67.
Schiff, H. (1969).Canadian Journal of Physics,47(21), 2387.
Schwinger, J. (1951).Physical Review,82(5), 664.
Shikin, G. N. (1984). InProblems of the Theory of Gravity and Elementary Particles, Vol. 14, Energoizdat, Moscow, p. 85.
Shikin, G. N. (1995).Theory of Solitons in General Relativity, Moscow.
Terletsky Ya. P. (1977).Doklady Akademii Nauk SSSR,236(4), 828.
Werle, J. (1977).Physics Letters B,71(2), 367.
Werle, J. (1980).Physics Letters B,95(3/4), 391.
Werle, J. (1981).Acta Physica Polonica B,12(6), 601.
Werle, J. (1988).Acta Physica Polonica B,19(3), 203.
Woloshyn, R. M. (1983).Physical Review D,27(6), 1393.
Zakharov, V. E., Sobolev, V. V., and Synakh, V. S. (1971).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,60(1), 136.
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Rybakov, Y.P., Shikin, G.N. & Saha, B. Solitons of nonlinear scalar electrodynamics in general relativity. Int J Theor Phys 36, 1475–1494 (1997). https://doi.org/10.1007/BF02435941
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DOI: https://doi.org/10.1007/BF02435941